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Finding the Third Proportional to 57,877,970 and 89,577,921

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Solution

The third proportional to 57,877,970 and 89,577,921 is: 138,640,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877,970 : 89,577,921 = 89,577,921 : x
  2. Step 2: Convert to fraction form
    57,877,970/89,577,921 = 89,577,921/x
  3. Step 3: Cross multiply
    57,877,970x = 89,577,921 × 89,577,921
  4. Step 4: Simplify right side
    57,877,970x = 8,024,203,930,682,241
  5. Step 5: Solve for x
    x = 8,024,203,930,682,241/57,877,970
  6. Step 6: Final answer
    x = 138,640,037.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.